메뉴 건너뛰기




Volumn 6080 LNCS, Issue , 2010, Pages 205-218

Approximability of 3- and 4-hop bounded disjoint paths problems

Author keywords

approximation algorithms; complexity; Graph algorithms; length bounded paths

Indexed keywords

APPROXIMABILITY; COMMUNICATION NETWORKS; COMPLEXITY; DISJOINT PATHS PROBLEM; EDGE WEIGHTS; FAULT-TOLERANT; FLOW PROBLEMS; GRAPH ALGORITHMS; GRAPH G; MINIMUM WEIGHT; NODE-DISJOINT; NODE-DISJOINT PATHS; POLYNOMIAL-TIME; SUBGRAPHS;

EID: 77954393110     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-13036-6_16     Document Type: Conference Paper
Times cited : (10)

References (29)
  • 1
    • 0342880921 scopus 로고    scopus 로고
    • Capacity and survivability models for telecommunication networks
    • Konrad-Zuse- Zentrum für Informationstechnik Berlin
    • Alevras, D., Grötschel, M., Wessäly, R.: Capacity and survivability models for telecommunication networks. ZIB Technical Report SC-97-24, Konrad-Zuse- Zentrum für Informationstechnik Berlin (1997)
    • (1997) ZIB Technical Report SC-97-24
    • Alevras, D.1    Grötschel, M.2    Wessäly, R.3
  • 3
    • 38649089178 scopus 로고    scopus 로고
    • Hop-constrained node survivable network design: An application to MPLS over WDM
    • Gouveia, L., Patricio, P., Sousa, A.D.: Hop-constrained node survivable network design: An application to MPLS over WDM. Networks and Spatial Economics 8(1) (2008)
    • (2008) Networks and Spatial Economics , vol.8 , Issue.1
    • Gouveia, L.1    Patricio, P.2    Sousa, A.D.3
  • 6
    • 33746352017 scopus 로고    scopus 로고
    • An O (√n) approximation and integrality gap for disjoint paths and unsplittable flow
    • Chekuri, C., Khanna, S., Shepherd, F.: An O (√n) approximation and integrality gap for disjoint paths and unsplittable flow. Theory of Computing 2, 137-146 (2006)
    • (2006) Theory of Computing , vol.2 , pp. 137-146
    • Chekuri, C.1    Khanna, S.2    Shepherd, F.3
  • 7
    • 64249115316 scopus 로고    scopus 로고
    • Inapproximability of survivable networks
    • Lando, Y., Nutov, Z.: Inapproximability of survivable networks. Theoretical Computer Science 410, 2122-2125 (2009)
    • (2009) Theoretical Computer Science , vol.410 , pp. 2122-2125
    • Lando, Y.1    Nutov, Z.2
  • 8
    • 0002439168 scopus 로고
    • Zur allgemeinen Kurventheorie
    • Menger, K.: Zur allgemeinen Kurventheorie. Fund. Mathematicae 10, 96-115 (1927)
    • (1927) Fund. Mathematicae , vol.10 , pp. 96-115
    • Menger, K.1
  • 10
    • 33746329541 scopus 로고
    • On line disjoint paths of bounded length
    • Exoo, G.: On line disjoint paths of bounded length. Discrete Mathematics 44, 317-318 (1983)
    • (1983) Discrete Mathematics , vol.44 , pp. 317-318
    • Exoo, G.1
  • 12
    • 0034239439 scopus 로고    scopus 로고
    • Constrained length connectivity and survivable networks
    • Ben-Ameur, W.: Constrained length connectivity and survivable networks. Networks 36, 17-33 (2000)
    • (2000) Networks , vol.36 , pp. 17-33
    • Ben-Ameur, W.1
  • 13
    • 43949172049 scopus 로고
    • Menger-type theorems with restrictions on path lengths
    • Pyber, L., Tuza, Z.: Menger-type theorems with restrictions on path lengths. Discrete Mathematics 120, 161-174 (1993)
    • (1993) Discrete Mathematics , vol.120 , pp. 161-174
    • Pyber, L.1    Tuza, Z.2
  • 14
    • 33745622771 scopus 로고    scopus 로고
    • PhD thesis, Technische Universität Berlin
    • Baier, G.: Flows with path restrictions. PhD thesis, Technische Universität Berlin (2003)
    • (2003) Flows with Path Restrictions
    • Baier, G.1
  • 16
    • 77954402696 scopus 로고    scopus 로고
    • Max flow and min cut with bounded-length paths: Complexity, algorithms and approximation
    • to appear
    • Mahjoub, A., McCormick, T.: Max flow and min cut with bounded-length paths: Complexity, algorithms and approximation. Mathematical Programming (to appear)
    • Mathematical Programming
    • Mahjoub, A.1    McCormick, T.2
  • 18
    • 0020175940 scopus 로고
    • COMPLEXITY of FINDING MAXIMUM DISJOINT PATHS with LENGTH CONSTRAINTS
    • Itai, A., Perl, Y., Shiloach, Y.: The complexity of finding maximum disjoint paths with length constraints. Networks 12, 277-286 (1982) (Pubitemid 13491782)
    • (1982) Networks , vol.12 , Issue.3 , pp. 277-286
    • Itai, A.1    Perl, Y.2    Shiloach, Y.3
  • 19
    • 4744349395 scopus 로고    scopus 로고
    • On the complexity of vertex-disjoint length-restricted path problems
    • Bley, A.: On the complexity of vertex-disjoint length-restricted path problems. Computational Complexity 12, 131-149 (2003)
    • (2003) Computational Complexity , vol.12 , pp. 131-149
    • Bley, A.1
  • 20
    • 0021691733 scopus 로고
    • Heuristics for finding a maximum number of disjoint bounded paths
    • Perl, Y., Ronen, D.: Heuristics for finding a maximum number of disjoint bounded paths. Networks 14 (1984)
    • (1984) Networks , vol.14
    • Perl, Y.1    Ronen, D.2
  • 21
    • 51249167691 scopus 로고
    • A linear-time algorithm for edge-disjoint paths in planar graphs
    • Wagner, D., Weihe, K.: A linear-time algorithm for edge-disjoint paths in planar graphs. Combinatorica 15(1), 135-150 (1995)
    • (1995) Combinatorica , vol.15 , Issue.1 , pp. 135-150
    • Wagner, D.1    Weihe, K.2
  • 22
    • 77954406317 scopus 로고    scopus 로고
    • The k-edge 3-hop constrained network design polyhedron
    • Available as preprint at Université Catholique de Louvain: Le polyedre du probleme de conception de reseaux robustes K-arête connexe avec 3 sauts
    • Botton, Q., Fortz, B., Gouveia, L.: The k-edge 3-hop constrained network design polyhedron. In: Proceedings of the 9th INFORMS Telecommunications Conference, Available as preprint at Université Catholique de Louvain: Le polyedre du probleme de conception de reseaux robustes K-arête connexe avec 3 sauts (2008)
    • (2008) Proceedings of the 9th INFORMS Telecommunications Conference
    • Botton, Q.1    Fortz, B.2    Gouveia, L.3
  • 24
    • 34250661083 scopus 로고    scopus 로고
    • Integer programming formulations for the two 4-hop-constrained paths problem
    • DOI 10.1002/net.20147
    • Huygens, D., Mahjoub, A.: Integer programming formulations for the two 4-hop constrained paths problem. Networks 49(2), 135-144 (2007) (Pubitemid 46931770)
    • (2007) Networks , vol.49 , Issue.2 , pp. 135-144
    • Huygens, D.1    Mahjoub, A.R.2
  • 25
    • 72249097356 scopus 로고    scopus 로고
    • Paths of bounded length and their cuts: Parameterized complexity and algorithms
    • Chen, J., Fomin, F. (eds.) IWPEC 2009. Springer, Heidelberg
    • Golovach, P., Thilikos, D.: Paths of bounded length and their cuts: Parameterized complexity and algorithms. In: Chen, J., Fomin, F. (eds.) IWPEC 2009. LNCS, vol. 5917, pp. 210-221. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5917 , pp. 210-221
    • Golovach, P.1    Thilikos, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.